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Finding the Fourth Proportional to 1,675.11, 2,511.75 and 700.48

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Solution

The fourth proportional to 1,675.11, 2,511.75 and 700.48 is: 1,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.11 : 2,511.75 = 700.48 : x
  2. Step 2: Convert to fraction form
    1,675.11/2,511.75 = 700.48/x
  3. Step 3: Cross multiply
    1,675.11x = 2,511.75 × 700.48
  4. Step 4: Simplify right side
    1,675.11x = 1,759,430.64
  5. Step 5: Solve for x
    x = 1,759,430.64/1,675.11
  6. Step 6: Final answer
    x = 1,050.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.